Saturday, July 17, 2010

Understanding Differentiability

Lets us learn Differentiability

We have already defined the derivative of a function f(x) at a particular point 'a' and derivative of f(x) in general for the variable x as f(a) and f(x) respectively. The restriction in both the cases is that 'the limit must exist' differentiability of a function.
If

does not exist, then we say that the function is not differentiable.
If the above limit exists, we say the function f(x) is differentiable.

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